The Impossibility of Metaphysical Closure for Finite Agents
Preface I have been searching back and forth for a long time, trying out many partial approaches and incomplete answers. Each attempt illuminated something, but none of them fully resolved the problem. What follows is the first explanation that actually closes the issue. It is simple, structural, and does not depend on any special metaphysical assumptions. It shows, in a straightforward way, why no finite agent can ever achieve a complete and final account of all truths. Abstract This paper argues that no finite agent can ever achieve metaphysical closure — the idea that an agent’s reasons, concepts, and methods could cover the entire space of possible propositions. The core issue is structural: a finite agent’s justificatory resources are fixed and determinate, while the total space of propositions it faces is not. Because the agent cannot determine or survey the full range of possible propositions, it cannot know whether its resources cover that range. From this mismatch alone, w...